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Finding the Fourth Proportional to 2,008.55, 3,014.37 and 898.31

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Solution

The fourth proportional to 2,008.55, 3,014.37 and 898.31 is: 1,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.55 : 3,014.37 = 898.31 : x
  2. Step 2: Convert to fraction form
    2,008.55/3,014.37 = 898.31/x
  3. Step 3: Cross multiply
    2,008.55x = 3,014.37 × 898.31
  4. Step 4: Simplify right side
    2,008.55x = 2,707,838.71
  5. Step 5: Solve for x
    x = 2,707,838.71/2,008.55
  6. Step 6: Final answer
    x = 1,348.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.